Abstract
The strong decays of the radially excited $\psi(3^3S_1)$ state are studied within the $^3P_0$ model. As a believed $\psi(3^3S_1)$, some strong decay widths and relevant ratios of $\psi(4040)$ are calculated in the model. The theoretical results are consistent with experiments. In a similar way, as a possible $\psi(3^3S_1)$, the same strong decay widths and relevant ratios of $Y(4008)$ are presented. Our study indicates that $Y(4008)$ is hard to be identified with a $\psi(3^3S_1)$ charmonium once it is confirmed under the $D^*\bar{D}^*$ threshold, but it is very possibly a $\psi(3^3S_1)$ charmonium once it is confirmed above the $D^*\bar{D}^*$ threshold by experiment.
Highlights
Since the discovery of J/ψ, many charmonium and charmonium like states have been observed [1]
Most of them are confirmed as cccharmonium states, some of them do not fit the predicted features of cccharmonium
The fact is that there are two states ψ(4040) and Y (4008), which are close to the threshold of D∗ D ∗
Summary
Since the discovery of J/ψ, many charmonium and charmonium like states have been observed [1]. The fact is that there are two states ψ(4040) and Y (4008), which are close to the threshold of D∗ D ∗ These two states have different total decay widths. Many strong decay models have been developed to describe the transition of hadrons to open-flavor final states. Where |K| is the momentum of the daughter meson in the initial meson A’s center mass frame With these formula in hand, we proceed with the study of the strong decays of ψ(4040) and Y (4008). Ψ(4040) and Y (4008) have the same quantum number J PC = 1−−
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